##############ECHO OF PROBLEM################# ##############temp/lin_tanpostode.ode################# diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.0; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 10; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.005 ; glob_display_interval = 0.1; glob_look_poles = true; glob_max_iter = 10000; glob_max_minutes = 10; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0 y[1] (analytic) = 0.005028957536846423 y[1] (numeric) = 0.005028957536846423 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1 y[1] (analytic) = 0.0008533398774849093 y[1] (numeric) = 0.0008533398856247805 absolute error = 8.139871155582457e-12 relative error = 9.53883835778717e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop NO POLE Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 0.2000000000000001 y[1] (analytic) = 0.01688274982104074 y[1] (numeric) = 0.01688274983896134 absolute error = 1.792060250194183e-11 relative error = 1.061474149170157e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.6707 Order of pole = 2.65 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 0.3000000000000002 y[1] (analytic) = 0.05448438861988686 y[1] (numeric) = 0.05448438865795519 absolute error = 3.806832626906953e-11 relative error = 6.987015406313021e-08 % Correct digits = 9 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.5571 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 0.4000000000000002 y[1] (analytic) = 0.1172490656859967 y[1] (numeric) = 0.1172490657816689 absolute error = 9.567219239059455e-11 relative error = 8.15974027859745e-08 % Correct digits = 9 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.4569 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 0.5000000000000003 y[1] (analytic) = 0.2125964991379538 y[1] (numeric) = 0.2125964994544658 absolute error = 3.16511955533727e-10 relative error = 1.488791945385434e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.3567 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used x[1] = 0.6000000000000004 y[1] (analytic) = 0.3564088705211527 y[1] (numeric) = 0.3564088721297199 absolute error = 1.608567168354114e-09 relative error = 4.513263561599951e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.2566 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 0.7000000000000005 y[1] (analytic) = 0.5899119258786011 y[1] (numeric) = 0.5899119445494354 absolute error = 1.86708343230535e-08 relative error = 3.16502065884591e-06 % Correct digits = 7 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.1564 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 0.8000000000000006 y[1] (analytic) = 1.093947743263041 y[1] (numeric) = 1.093950571960129 absolute error = 2.82869708789768e-06 relative error = 0.0002585769846245313 % Correct digits = 5 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.05628 Order of pole = 2.082 Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used x[1] = 0.9000000000000007 y[1] (analytic) = 1.218064051760467 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 3.838545704171148e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.000000000000001 y[1] (analytic) = 0.6299856183142909 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 7.421748048473475e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop NO POLE Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.104999999999998 y[1] (analytic) = 0.3697760685736005 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 1.264439462328215e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.1808 Order of pole = 0.764 Complex estimate of poles used Complex estimate of poles used x[1] = 1.204999999999996 y[1] (analytic) = 0.2212808863618441 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 2.112968096867071e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.304999999999994 y[1] (analytic) = 0.1230527978195709 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 3.799665360023869e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.404999999999992 y[1] (analytic) = 0.05819883091142482 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 8.03382896197077e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.50499999999999 y[1] (analytic) = 0.01889434827581493 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 2.474599528407805e+22 % Correct digits = -20 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.604999999999988 y[1] (analytic) = 0.001340219327263201 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 3.488678635039727e+23 % Correct digits = -21 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.704999999999986 y[1] (analytic) = 0.004031314254753199 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 1.159818917063485e+23 % Correct digits = -21 h = 0.005 TOP MAIN SOLVE Loop NO POLE Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 1.804999999999984 y[1] (analytic) = 0.02719128379202356 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 1.719519596445832e+22 % Correct digits = -20 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.6242 Order of pole = 2.136 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 1.904999999999981 y[1] (analytic) = 0.07285232510349644 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 6.417907083470759e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.5228 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 2.004999999999979 y[1] (analytic) = 0.1456477611829221 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 3.210206937144928e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.4226 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 2.104999999999977 y[1] (analytic) = 0.2550926220440264 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 1.832900730654406e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.3225 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used x[1] = 2.204999999999975 y[1] (analytic) = 0.4225219870630697 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 1.106592006203104e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.2223 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 2.304999999999973 y[1] (analytic) = 0.7103016303710475 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 6.582547939314184e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.1222 Order of pole = 2.082 Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used x[1] = 2.404999999999971 y[1] (analytic) = 1.562152780009068 y[1] (numeric) = 4.675594533290444e+18 absolute error = 4.675594533290444e+18 relative error = 2.993045618280245e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.02202 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.504999999999969 y[1] (analytic) = 0.9309208998465864 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 5.022551453679459e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop NO POLE Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.604999999999967 y[1] (analytic) = 0.5269938913213439 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 8.872205533657758e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.1043 Order of pole = 0.6716 Complex estimate of poles used Complex estimate of poles used x[1] = 2.704999999999965 y[1] (analytic) = 0.319510840605662 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 1.463361340079116e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.804999999999962 y[1] (analytic) = 0.1884169892389054 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 2.481516203858128e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.90499999999996 y[1] (analytic) = 0.101118356285068 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 4.623886592463826e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.004999999999958 y[1] (analytic) = 0.04430314850794855 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 1.055364748612889e+22 % Correct digits = -20 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.104999999999956 y[1] (analytic) = 0.01162216335009419 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 4.023001551382575e+22 % Correct digits = -20 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.204999999999954 y[1] (analytic) = 5.459901846559866e-05 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 8.563520462791889e+24 % Correct digits = -22 h = 0.005 TOP MAIN SOLVE Loop NO POLE Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 3.304999999999952 y[1] (analytic) = 0.008626295345083383 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 5.420169298341903e+22 % Correct digits = -20 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.908 Order of pole = 10.61 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 3.40499999999995 y[1] (analytic) = 0.03805459071424722 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 1.228655473893869e+22 % Correct digits = -20 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.5939 Order of pole = 2.089 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 3.504999999999947 y[1] (analytic) = 0.09100712876130229 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 5.137617439891372e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.4935 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 3.604999999999945 y[1] (analytic) = 0.173198748564558 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 2.699556525399652e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.3934 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 3.704999999999943 y[1] (analytic) = 0.2964897888274651 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 1.576984535378354e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.2932 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 3.804999999999941 y[1] (analytic) = 0.4889616415815827 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 9.562300436618083e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.1931 Order of pole = 2.082 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 3.904999999999939 y[1] (analytic) = 0.8450231221095446 y[1] (numeric) = 4.675598118785063e+18 absolute error = 4.675598118785063e+18 relative error = 5.533100806890041e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.09293 Order of pole = 2.082 Complex estimate of poles used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Complex estimate of poles used Real estimate of pole used x[1] = 4.004999999999937 y[1] (analytic) = 2.119388881314242 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 2.20610678889453e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop NO POLE Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.104999999999935 y[1] (analytic) = 0.7737333864226811 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 6.042906098433124e+20 % Correct digits = -18 h = 0.005 TOP MAIN SOLVE Loop NO POLE Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.204999999999933 y[1] (analytic) = 0.4548260035211444 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 1.027997116079043e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE Complex estimate of poles used Complex estimate of poles used x[1] = 4.30499999999993 y[1] (analytic) = 0.2753991940620764 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 1.697753043649441e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.404999999999928 y[1] (analytic) = 0.1591863970591454 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 2.937184511838485e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.504999999999926 y[1] (analytic) = 0.08174357778121547 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 5.71983552260099e+21 % Correct digits = -19 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.604999999999924 y[1] (analytic) = 0.03244572055702095 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 1.441052354241267e+22 % Correct digits = -20 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.704999999999922 y[1] (analytic) = 0.006138017954477827 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 7.61743975669536e+22 % Correct digits = -20 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.80499999999992 y[1] (analytic) = 0.0004760318745640238 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 9.822027576739693e+23 % Correct digits = -21 h = 0.005 TOP MAIN SOLVE Loop NO POLE Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 4.904999999999918 y[1] (analytic) = 0.01498797924328286 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 3.119565435394093e+22 % Correct digits = -20 h = 0.005 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.6874 Order of pole = 3.031 Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used Real estimate of pole used x[1] = 5.004999999999916 y[1] (analytic) = 0.05090573872629824 y[1] (numeric) = 4.675598199374932e+18 absolute error = 4.675598199374932e+18 relative error = 9.184815536248151e+21 % Correct digits = -19 h = 0.005 Finished! diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ; Iterations = 1001 Total Elapsed Time = 33 Seconds Elapsed Time(since restart) = 33 Seconds Time to Timeout = 9 Minutes 27 Seconds Percent Done = 100.2 %